Suppose there exists a triangle △ABC where P and Q are points on segments AB and AC respectively, such that:
(1) AP=AQ.
Let S and R be distinct points on segment BC such that:
(2) S lies between points B and R
(3) ∠BPS=∠PRS, and ∠CQR=∠QSR.
Prove that points P,Q,R,S are concyclic points.
#Geometry
#Angles
#Concyclic
#Proofs
#Triangles
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